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Abstract and Applied Analysis
Volume 2013 (2013), Article ID 737481, 12 pages
http://dx.doi.org/10.1155/2013/737481
Research Article

The Use of Sumudu Transform for Solving Certain Nonlinear Fractional Heat-Like Equations

1Institute for Groundwater Studies, Faculty of Natural and Agricultural Sciences, University of the Free State, 9300 Bloemfontein, South Africa
2Department of Mathematics and Institute for Mathematical Research, University Putra Malaysia (UPM), 43400 Serdang, Selangor, Malaysia

Received 4 March 2013; Accepted 16 April 2013

Academic Editor: Mustafa Bayram

Copyright © 2013 Abdon Atangana and Adem Kılıçman. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Citations to this Article [7 citations]

The following is the list of published articles that have cited the current article.

  • Abdon Atangana, and Adem Kilicman, “A Novel Integral Operator Transform and Its Application to Some FODE and FPDE with Some Kind of Singularities,” Mathematical Problems in Engineering, vol. 2013, pp. 1–7, 2013. View at Publisher · View at Google Scholar
  • Abdon Atangana, and Necdet Bildik, “The Use of Fractional Order Derivative to Predict the Groundwater Flow,” Mathematical Problems in Engineering, vol. 2013, pp. 1–9, 2013. View at Publisher · View at Google Scholar
  • Faruk Uçar, “-Sumudu Transforms of -Analogues of Bessel Functions,” The Scientific World Journal, vol. 2014, pp. 1–7, 2014. View at Publisher · View at Google Scholar
  • Abdon Atangana, and Suares Clovis Noutchie Oukouomi, “Novel Approach for Dealing with Partial Differential Equations with Mixed Derivatives,” Abstract and Applied Analysis, vol. 2014, pp. 1–8, 2014. View at Publisher · View at Google Scholar
  • Abdon Atangana, Necdet Bildik, and S. C. Oukouomi Noutchie, “New Iteration Methods for Time-Fractional Modified Nonlinear Kawahara Equation,” Abstract and Applied Analysis, vol. 2014, pp. 1–9, 2014. View at Publisher · View at Google Scholar
  • B. A. Jacobs, and C. Harley, “Two Hybrid Methods for Solving Two-Dimensional Linear Time-Fractional Partial Differential Equations,” Abstract and Applied Analysis, vol. 2014, pp. 1–10, 2014. View at Publisher · View at Google Scholar
  • Shu Xu, Xiang Ling, Carlo Cattani, Gong-Nan Xie, Xiao-Jun Yang, and Yang Zhao, “Local Fractional Laplace Variational Iteration Method for Nonhomogeneous Heat Equations Arising in Fractal Heat Flow,” Mathematical Problems in Engineering, vol. 2014, pp. 1–7, 2014. View at Publisher · View at Google Scholar